Comparison of exit moment spectra for extrinsic metric balls
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/43662
comunitat-uji-handle3:10234/43643
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Comparison of exit moment spectra for extrinsic metric ballsFecha de publicación
2012Editor
Springer Science+Business Media B.V.ISSN
0926-2601; 1572-929XCita bibliográfica
HURTADO, Ana; MARKVORSEN, Steen; PALMER, Vicente. Comparison of exit moment spectra for extrinsic metric balls. Potential Analysis, 2012, vol. 36, no 1, p. 137-153.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/content/pdf/10.1007%2Fs11118-011-9223-3.pdfVersión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
We prove explicit upper and lower bounds for the L1-moment spectra for
the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in
ambient Riemannian spaces Nn. We assume that P and N both have ... [+]
We prove explicit upper and lower bounds for the L1-moment spectra for
the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in
ambient Riemannian spaces Nn. We assume that P and N both have controlled
radial curvatures (mean curvature and sectional curvature, respectively) as viewed from a pole in N. The bounds for the exit moment spectra are given in terms of the corresponding spectra for geodesic metric balls in suitably warped product model spaces. The bounds are sharp in the sense that equalities are obtained in characteristic cases. As a corollary we also obtain new intrinsic comparison results for the exit time spectra for metric balls in the ambient manifolds Nn themselves. [-]
Derechos de acceso
© Springer Science+Business Media B.V. 2011
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info:eu-repo/semantics/openAccess
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